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991226368008 = 2336130372
BaseRepresentation
bin11100110110010011011…
…00100001000000001000
310111202112021021202000000
432123021230201000020
5112220012422234013
62035210233043000
7131420341053012
oct16331154410010
93452467252000
10991226368008
11352416497368
12140133856460
137261a6a5616
1435d931191b2
151abb63a1973
hexe6c9b21008

991226368008 has 84 divisors (see below), whose sum is σ = 2786763192765. Its totient is φ = 330383445408.

The previous prime is 991226368003. The next prime is 991226368037. The reversal of 991226368008 is 800863622199.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 959220442404 + 32005925604 = 979398^2 + 178902^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=703998.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (991226368003) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 76025266 + ... + 76038302.

Almost surely, 2991226368008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991226368008

991226368008 is an abundant number, since it is smaller than the sum of its proper divisors (1795536824757).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

991226368008 is an frugal number, since it uses more digits than its factorization.

991226368008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26098 (or 13042 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 991226368008 in words is "nine hundred ninety-one billion, two hundred twenty-six million, three hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 13037 26074 39111 52148 78222 104296 117333 156444 234666 312888 351999 469332 703998 938664 1055997 1407996 2111994 2815992 3167991 4223988 6335982 8447976 9503973 12671964 19007946 25343928 38015892 76031784 169963369 339926738 509890107 679853476 1019780214 1359706952 1529670321 2039560428 3059340642 4079120856 4589010963 6118681284 9178021926 12237362568 13767032889 18356043852 27534065778 36712087704 41301098667 55068131556 82602197334 110136263112 123903296001 165204394668 247806592002 330408789336 495613184004 991226368008